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04_voronoi.md

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Voronoi/Worley noise

Worley noise is a noise working on the principles of Voronoi diagrams: you start with points randomly spread across the space, the noise value is then based on the distance from the nearest points. WOGLAC provides the voronoi2D function to play around with the Voronoi noise [function documentation].

The noise looks like this:

Float resultType = 0; // also we test 1
export Block resultBlock = worldPos()::z() < 20 + voronoi2D(~2, #51321, resultType, 2) * 15 ? block.core.dirt : block.air;

resultType = 0

resultType = 1

The result types look quite smiliar when one of them is inverted, the main difference is that with resultType = 0 (distance to the edge), the edges always start on the same level and the tip heights can differ, and with resultType = 1 (distance to the point), the tips alwas start on the same level and the edges height can differ.

This type of noise can for example be used for cracked ground:

export Block resultBlock = worldPos()::z() < 64 + min(voronoi2D(~2, #51321, 0, 2) * 5, 1) * 15 ? block.core.dirt : block.air;

Mountains

And it can also be used to generate some nice mountain peaks:

export Block resultBlock = worldPos()::z() < 16 + max(voronoi2D(~4, #51321, 1, 2) - 0.2, 0) * 32 ? block.core.dirt : block.air;

We can get quite a nice looking moutainous terrain by combining multiple Perlin a Voronoi noises:

Float terrainZ =
	16
	+ voronoi2D(~4, #51321, 1, 2) * 32
	+ voronoi2D(~2, #551, 1, 2) * 24
	+ voronoi2D(~1, #1237, 1, 2) * 4
	+ perlin2D(~4, #25321) * 32
	+ perlin2D(~2, #4513) * 16
	;

export Block resultBlock = worldPos()::z() < terrainZ ? block.core.dirt : block.air;

We can also add some gradient-based block selection:

Float terrainZ =
	16
	+ voronoi2D(~4, #51321, 1, 2) * 32
	+ voronoi2D(~2, #551, 1, 2) * 24
	+ voronoi2D(~1, #1237, 1, 2) * 4
	+ perlin2D(~4, #25321) * 32
	+ perlin2D(~2, #4513) * 16
	;

Float terrainGradient = max(
		abs(sampleOffset(terrainZ, float3(-2, 0, 0)) - sampleOffset(terrainZ, float3(2, 0, 0))),
		abs(sampleOffset(terrainZ, float3(0, -2, 0)) - sampleOffset(terrainZ, float3(0, 2, 0)))
	);

Float snowZ = 50 + perlin2D(~4, #35253) * 32;

Block terrainBlock =
	terrainGradient < 2.5 ? (terrainZ > snowZ ? block.core.snow : block.core.grass) :
	block.core.stone
	;

export Block resultBlock = worldPos()::z() < terrainZ ? terrainBlock : block.air;